Modeling Time-Varying Reactances using Wave Digital Filters

Ólafur Bogason, Kurt James Werner

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

3 Citations (Scopus)
103 Downloads (Pure)

Abstract

Wave Digital Filters were developed to discretize linear time invariant lumped systems, particularly electronic circuits. The time-invariant assumption is baked into the underlying theory and becomes problematic when simulating audio circuits that are by nature time-varying. We present extensions to WDF theory that incorporate proper numerical schemes, allowing for the accurate simulation of time-varying systems.

We present generalized continuous-time models of reactive components that encapsulate the time-varying lossless models presented by Fettweis, the circuit-theoretic time-varying models as well as traditional LTI models as special cases. Models of time-varying reactive components are valuable tools to have when modeling circuits containing variable capacitors or inductors or electrical devices such as condenser microphones. A power metric is derived and the model is discretized using the alpha-transform numerical scheme and parametric wave definition.

Case studies of circuits containing time-varying resistance and capacitance are presented and help to validate the proposed generalized continuous-time model and discretization.
Original languageEnglish
Title of host publicationProceedings of the 21st International Conference on Digital Audio Effects (DAFx-18)
Place of PublicationAveiro, Portugal
Pages272-279
Number of pages8
Publication statusPublished - 04 Sep 2018
EventINTERNATIONAL CONFERENCE ON DIGITAL AUDIO EFFECTS - University of Aveiro, Aveiro, Portugal
Duration: 04 Sep 201808 Sep 2018
http://dafx2018.web.ua.pt/

Conference

ConferenceINTERNATIONAL CONFERENCE ON DIGITAL AUDIO EFFECTS
Abbreviated titleDAFx-18
Country/TerritoryPortugal
CityAveiro
Period04/09/201808/09/2018
Internet address

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  • DAFx Best Paper Award

    Bogason, Ó. (Recipient) & Werner, K. J. (Recipient), 06 Sep 2018

    Prize: Prize (including medals and awards)

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